Arias Rodrigo E, Maradudin Alexei A
Departamento de Física Universidad de Chile, FCFM, Santiago, Chile.
Opt Express. 2013 Apr 22;21(8):9734-56. doi: 10.1364/OE.21.009734.
On the basis of a rigorous, nonperturbative, purely numerical solution of the corresponding reduced Rayleigh equation for the scattering amplitudes we have studied the scattering of a surface plasmon polariton by a two dimensional dielectric defect on a planar metal surface. The profile of the defect is assumed to be an arbitrary single-valued function of the coordinates in the plane of the metal surface, and to be differentiable with respect to those coordinates. When the defect is circularly symmetric and the dependence of the scattering amplitudes on the azimuthal angle is expressed by a rotational expansion, the reduced Rayleigh equation is transformed into a pair of one-dimensional integral equations for each value of the rotational quantum number. This approach is applied to a defect in the form of an isotropic Gaussian function. The differential cross sections for the scattering of the incident surface plasmon polariton into volume electromagnetic waves in the vacuum above the surface and into other surface plasmon polaritons are calculated, as well as the intensity of the field near the surface. These results differ significantly from the corresponding results for a metallic defect on a metallic substrate.
基于对相应简化瑞利方程散射振幅的严格、非微扰纯数值解，我们研究了平面金属表面二维介电缺陷对表面等离激元极化激元的散射。假设缺陷轮廓是金属表面平面坐标的任意单值函数，且相对于这些坐标可微。当缺陷呈圆对称且散射振幅对方位角的依赖关系通过旋转展开表示时，对于每个旋转量子数的值，简化瑞利方程可转化为一对一维积分方程。此方法应用于各向同性高斯函数形式的缺陷。计算了入射表面等离激元极化激元散射到表面上方真空中的体电磁波以及其他表面等离激元极化激元的微分截面，以及表面附近的场强。这些结果与金属基底上金属缺陷的相应结果有显著差异。
